Fluid flow and fluid shear stress in canaliculi induced by external mechanical loading and blood pressure oscillation

doi:10.1007/s10483-015-1932-7

Abstract

Abstract: The paper studies the problem of fluid flow and fluid shear stress in canaliculi when the osteon is subject to external mechanical loading and blood pressure oscillation. The single osteon is modeled as a saturated poroelastic cylinder. Solid skeleton is regarded as a poroelastic transversely isotropic material. To get near-realistic results, both the interstitial fluid and the solid matrix are regarded as compressible. Blood pressure oscillation in the Haverian canal is considered. Using the poroelasticity theory, an analytical solution of the pore fluid pressure is obtained. Assuming the fluid in canaliculi is incompressible, analytical solutions of fluid flow velocity and fluid shear stress with the Navier-Stokes equations of incompressible fluid are obtained. The effect of various parameters on the fluid flow velocity and fluid shear stress is studied.

Key words: fluid shear stress, poroelasticity, osteon, fluid flow, transverse isotropic, blood pressure oscillation

2010 MSC Number:

R318.01

Shulun LIU, Fan WANG, Renhuai LIU. Fluid flow and fluid shear stress in canaliculi induced by external mechanical loading and blood pressure oscillation. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 681-692.

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